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Finding the Fourth Proportional to 9,796.26, 13,518.48 and 5,319.90

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Solution

The fourth proportional to 9,796.26, 13,518.48 and 5,319.90 is: 7,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.26 : 13,518.48 = 5,319.90 : x
  2. Step 2: Convert to fraction form
    9,796.26/13,518.48 = 5,319.90/x
  3. Step 3: Cross multiply
    9,796.26x = 13,518.48 × 5,319.90
  4. Step 4: Simplify right side
    9,796.26x = 71,916,961.75
  5. Step 5: Solve for x
    x = 71,916,961.75/9,796.26
  6. Step 6: Final answer
    x = 7,341.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.